Choosing the Rule for a Pattern - Answer Key - Next Number Rules

Sep 30, 2026

Uploaded by Jasmine

Worksheets and answer key on identifying the correct rule that generates the next number in given number patterns. Each item states that n represents a number in the pattern, then provides a sequence (e.g., multiplying, adding, subtracting, or dividing by a constant). The student chooses among offered operations and the answer key records the correct choice for each problem, supporting practice with rule-based pattern recognition and number reasoning.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Choosing the Rule for a Pattern - Question Set

Determine the Rule for Next Number

Answer Key

Choosing the Rule for a Pattern Name: | If n represents a number in each pattern, determine which rule could be used to find the next number. | | | | | | | | | Answers | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | | 1.
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10. | | | | | 1) | 3, 9, 27, 81, | 2) 15, 21, 27, 33,
| | | | | | | | | | | | A. n + 3 B. n − 3 C. n • 3 D. n ÷ 3 A. n + 6 B. n − 6 C. n • 6 D. n ÷ 6 | | | | | | | | | | | | | | 3) | 56, 28, 14, 7, | 4) 64, 16, 4, 1,
| | | | | | | | | | | | A. n + 2 B. n − 2 C. n • 2 D. n ÷ 2 A. n + 4 B. n − 4 C. n • 4 D. n ÷ 4 | | | | | | | | | | | | | | 5) | 27, 33, 39, 45, | 6) 32, 96, 288, 864,
| | | | | | | | | | | | A. n + 6 B. n − 6 C. n • 6 D. n ÷ 6 A. n + 3 B. n − 3 C. n • 3 D. n ÷ 3 | | | | | | | | | | | | | | 7) | 174, 170, 166, 162, | 8) 24, 48, 96, 192,
| | | | | | | | | | | | A. n + 4 B. n − 4 C. n • 4 D. n ÷ 4 A. n + 2 B. n − 2 C. n • 2 D. n ÷ 2 | | | | | | | | | | | | | | 9) | 174, 163, 152, 141, | 10) 19, 23, 27, 31,
| | | | | | | | | | | | A. n + 11 B. n − 11 C. n • 11 D. n ÷ 11 A. n + 4 B. n − 4 C. n • 4 D. n ÷ 4 | | | | | | | | | | | | | | 1-10 | | | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 | [Math](Math www.CommonCoreSheets.com 4)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4)[ 4](Math www.CommonCoreSheets.com 4) Choosing the Rule for a Pattern Name: Answer Key | If n represents a number in each pattern, determine which rule could be used to find the next number. | | | | | | | | | Answers | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | | 1. C
2. A
3. D
4. D
5. A
6. C
7. B
8. C
9. B
10. A | | | | | 1) | 3, 9, 27, 81, | 2) 15, 21, 27, 33,
| | | | | | | | | | | | A. n + 3 B. n − 3 C. n • 3 D. n ÷ 3 A. n + 6 B. n − 6 C. n • 6 D. n ÷ 6 | | | | | | | | | | | | | | 3) | 56, 28, 14, 7, | 4) 64, 16, 4, 1,
| | | | | | | | | | | | A. n + 2 B. n − 2 C. n • 2 D. n ÷ 2 A. n + 4 B. n − 4 C. n • 4 D. n ÷ 4 | | | | | | | | | | | | | | 5) | 27, 33, 39, 45, | 6) 32, 96, 288, 864,
| | | | | | | | | | | | A. n + 6 B. n − 6 C. n • 6 D. n ÷ 6 A. n + 3 B. n − 3 C. n • 3 D. n ÷ 3 | | | | | | | | | | | | | | 7) | 174, 170, 166, 162, | 8) 24, 48, 96, 192,
| | | | | | | | | | | | A. n + 4 B. n − 4 C. n • 4 D. n ÷ 4 A. n + 2 B. n − 2 C. n • 2 D. n ÷ 2 | | | | | | | | | | | | | | 9) | 174, 163, 152, 141, | 10) 19, 23, 27, 31,
| | | | | | | | | | | | A. n + 11 B. n − 11 C. n • 11 D. n ÷ 11 A. n + 4 B. n − 4 C. n • 4 D. n ÷ 4 | | | | | | | | | | | | | | 1-10 | | | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 | [Math](Math www.CommonCoreSheets.com 4)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4)[ 4](Math www.CommonCoreSheets.com 4) Choosing the Rule for a Pattern Name: | If n represents a number in each pattern, determine which rule could be used to find the next number.
1) 3, 9, 27, 81,
A. n + 3 B. n − 3 C. n • 3 D. n ÷ 3
2) 15, 21, 27, 33,
A. n + 6 B. n − 6 C. n • 6 D. n ÷ 6
3) 56, 28, 14, 7,
A. n + 2 B. n − 2 C. n • 2 D. n ÷ 2
4) 64, 16, 4, 1,
A. n + 4 B. n − 4 C. n • 4 D. n ÷ 4
5) 27, 33, 39, 45,
A. n + 6 B. n − 6 C. n • 6 D. n ÷ 6
6) 32, 96, 288, 864,
A. n + 3 B. n − 3 C. n • 3 D. n ÷ 3
7) 174, 170, 166, 162,
A. n + 4 B. n − 4 C. n • 4 D. n ÷ 4
8) 24, 48, 96, 192,
A. n + 2 B. n − 2 C. n • 2 D. n ÷ 2

| | | | | Answers | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | 1.
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FAQs

What does the worksheet ask students to do with each pattern?

Students determine which rule (among addition, subtraction, multiplication, or division by a constant) produces the next number in the pattern.

What choices are typically provided for finding the next number?

Each problem lists multiple options of the form n ± k, n • k, or n ÷ k, where k is a specific constant.

How is the answer key used?

The answer key lists the correct option letter for each numbered problem so students can check their selections.

Sep 30, 2026

Uploaded by Jasmine